Table 35 CI–SAPF–CBO results solving truss structure and engineering design problems

From: Cohort intelligence with self-adaptive penalty function approach hybridized with colliding bodies optimization algorithm for discrete and mixed variable constrained problems

Test examples Best mean worst Standard deviation Average number of function evaluations Average computational time \((\mathrm{sec})\) % Improvement over the best reported solution
Test Example-1 6-Bar 4962.09 1.37 2449 3.32 0
4963.86
4965.39
Test Example-2 10-Bar Case 1 10-Bar Case 2 5490.60 14.09 16,845 10.81 0.0024
5505.71
5532.85
5061.76 1.88 24,325 34.53 0.1099
5062.50
5067.33
Test Example-3 25-Bar Case 1 25-Bar Case 2 512.81 8.80 21,652 11.71 0.6560
531.95
543.07
473.47 2.82 28,513 22.18 5.3139
485.97
487.94
Test Example-4 38-Bar 5889.95 10.93 46,900 33.30 0
5903.25
5927.08
Test Example-5 45-Bar 14,322.29 40.18 103,237 56.95 0.1319
14,413.89
14,480.44
Test Example-6 52-Bar 1891.44 7.17 95,645 61.17 s
1909.33
1920.11
Test Example-7 72-Bar Case 1 72-Bar Case 2 372.41 11.89 85,872 53.89 0.3033
398.09
418.90
379.07 5.43 91,872 80.39 0.2213
387.81
397.39
Test Example-8 Steeped Cantilever Beam 63,893.47 207.14 30,437 7.46 3.14e-5
64,229.23
64,549.43
Test Example-9 Pressure vessel 5850.65 97.05 11,033 4.69 0.6664
5946.46
6095.05
Test example-10 Speed Reducer 2816.34 1.03 7597 2.01 0.0273
2817.65
2819.57
Test example-11 Concrete Beam 359.21 0.18 2255 0.47 0
359.31
359.95
Test example-12 Welded Beam 1 1.55 35E−4 8721 2.24 15.7316
1.55
1.56
Test Example-13 Welded Beam 2 1.65 0.21 6996 2.15 10.1600
1.93
2.16
Test example-14 multiple disc clutch 0.24 8.62E−17 800 0.18 25.0136
0.24
0.24
Test example-15 Tension compression Spring 2.66 14E−4 2991 2.03 0
2.666
2.66
Test Example-16 I Section Beam 66.26E−4 9.65E−06 4553 0.47 49.5100
66.26E−4
66.26E-4
Test example-17 steeped beam 2 1.34 6.51E−05 11,761 1.8353 0
1.34
1.34
Test example-18 gear train design 2.70E−12 9.55E−12 6358 2.18 0
1.73E−11
2.31E−11